摘要
In this paper, we study surfaces of S3 in the context of Lie sphere geometry. We construct invariants with respect to Lie sphere transformations on the surfaces, which determine the surfaces up to a Lie sphere transformation. Finally we classify completely the homogeneous surfaces in S3 with respect to the Lie sphere transformation group of S3.
源语言 | 英语 |
---|---|
页(从-至) | 15-43 |
页数 | 29 |
期刊 | Geometriae Dedicata |
卷 | 149 |
期 | 1 |
DOI | |
出版状态 | 已出版 - 12月 2010 |
指纹
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Li, T. (2010). Homogeneous surfaces in Lie sphere geometry. Geometriae Dedicata, 149(1), 15-43. https://doi.org/10.1007/s10711-010-9460-4